For the function y = f(x) = 1x³ +4: df dx ƒ'(−7) = 147 a. Find at x = -7. b. Find a formula for x = f¯¹(y). f (3) c. Find -1 df-¹ dy at y = f(-7). (ƒ¯¹)'(ƒ(−7)) = } - ( - ½ · (–339 — 4) or 23

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
For the function y = f(x) = 1x³ +4:
df
a. Find at x =
dx
f'(-7) = 147
b. Find a formula for x = = f-(g).
f 1(y)=
c. Find
df-1
dy
-7.
at y = f(-7).
(ƒ¯¹)'(ƒ(−7)) =
1
3
· (–339 — 4)
8
-3
>
४
8
Transcribed Image Text:For the function y = f(x) = 1x³ +4: df a. Find at x = dx f'(-7) = 147 b. Find a formula for x = = f-(g). f 1(y)= c. Find df-1 dy -7. at y = f(-7). (ƒ¯¹)'(ƒ(−7)) = 1 3 · (–339 — 4) 8 -3 > ४ 8
Expert Solution
steps

Step by step

Solved in 5 steps with 24 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning